Answered

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A cube with side length
‍\[w\]
has a volume of
‍\[512\]
cubic centimeters. The following equation shows the volume of the cube.
‍\[w^3 = 512\]
What is the side length of the cube in centimeters?

Sagot :

KitdaAneekidn

Answer:

8 centimeters

Step-by-step explanation:

The volume of a cube is any side length cubed. To find the side length given the volume, you have to do the opposite operation which is the cube root and evaluate it to get the side length.

Solving:

Using w from the equation for side length:

[tex]\begin{document}\begin{enumerate} \[ w^3 = 512 \] \item Take the cube root of both sides of the equation: \[ w = \sqrt[3]{512} \] \item Calculate the cube root of \( 512 \): \[ \sqrt[3]{512} = \boxed{8} \][/tex]

Therefore, the side length of the cube is 8 centimeters.

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